The case might be same but the internals are different. The Q has a 6 bolt stub axle.
You might be thinking, "All I need to do is swap out the stub axles. "
I thought the same.
I went to the junkyard and picked up an R200 from a 94 J30. Externally, it is identical to the diff on my Q, except for the stub axles being 5 bolt and the input flange being smaller.
So I attempted to swap the stub axles. Guess what?
I was a no-go.
The gears on the inside are different. The stub axles are different.
I could not get the stub axles from the Q45 to fit into the R200 from the J30 because the ones from the Q are thicker. They won't fit without modifications.
I am sorry to be the bearer of bad news. But, don't give up hope.
There is a company in Cali. called UNITRAX that will install the 4.08 gears into your Q45 differential. Speak with Devin.